Factoring Trinomials ax2+bx+c a= 1 Worksheet (with Answer Key)

A trinomial is a polynomial with three terms. x2 + bx + c is a common (but not universal!) form for trinomials. Trinomials may appear challenging to factor at first glance, but even the most challenging-looking trinomials may be factored by utilizing some intriguing mathematical patterns.

How will the “Factoring Trinomials ax2+bx+c a=1 Worksheet” will help you?

This worksheet will help learners in deepening their knowledge about understanding Factoring Trinomials. 

The activities in this worksheet will practice the learner’s understanding and comprehension of evaluating factoring trinomials. In addition to this, they can also practice their solving in the activities.

Lastly, the answer key in the last part of this worksheet will enable the learner to check their work or answers in the activities. This can help them in assessing their mistakes if there are any.

Instructions on how to use the “Factoring Trinomials ax2+bx+c a=1 Worksheet”

In the first part, there will be a discussion regarding the concepts and lectures the learners need to know

After the discussion, an activity will be provided for the learner to apply their learning to the discussion. This part will practice the learners’ skills, comprehension, and evaluation. The last activity is a reflective section. It is provided to help the learner think and assess how they performed in the lesson.

At the end of the worksheet will be the answer keys to the activities. The learner will be able to check if they answered correctly or not.


Learning how factoring trinomials works, Is important in improving your knowledge and comprehension, Use this worksheet as a stepping stone in learning and practising your skills.

If you have any questions or comments, please let us know.

Factoring trinomials ax2+bx+c = Worksheet 

In the product of power, we must know the meaning of words when it comes to math. There are words that we use in expressing mathematical terms to words.

Below are your guides on the product of power.

  • It is frequently possible to factor trinomials with the formula x2 + bx + c as the sum of two binomials. Keep in mind that a binomial is just a polynomial with two terms. Examining what transpires when two binomials, such as (x + 6) and (x + 12), are multiplied.

Trinomials of the form x2 + bx + c: Factoring

Find two integers, r and s, whose product is c and whose sum is b, and use them to factor a trinomial with the form x2 + bx + c.

After rewriting the trinomial as x2 + rx + sx + c, factor the polynomial using grouping and the distributive property. The outcome variables are (x + r) and (x + s).

Example to factor trinomials:

Combine like terms to see the result if it is still the same as trinomials(x²+6x+8), before we factor it.

Therefore the factoring trinomials are correct.

 Another Example:

Before factoring trinomials, you need to look for two numbers whose sum is 18(the coefficient of the middle term)and whose product of 72(the last term). Let’s try (x+6)(x+12)

After multiplying using the foil method, combine like terms;

Write each trinomial in factored form (as the product of two binomials)

B. What are your thoughts on Factoring Trinomials? Was there any struggle or difficulty you experienced?

Answer Key

You can download this worksheet here.

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